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Q3. Find square root of 180625 by prime factorization.pls answer this I will mark you brainlist ♡♡​

Answer»

Answer:

Step-by-step explanation:

180,625 ÷ 2 = 90,312.5 - This has a remainder. Let's try ANOTHER prime number.

180,625 ÷ 3 = 60,208.3333 - This has a remainder. Let's try another prime number.

180,625 ÷ 5 = 36,125 - No remainder! 5 is one of the factors!

36,125 ÷ 5 = 7,225 - No remainder! 5 is one of the factors!

7,225 ÷ 5 = 1,445 - No remainder! 5 is one of the factors!

1,445 ÷ 5 = 289 - No remainder! 5 is one of the factors!

289 ÷ 17 = 17 - No remainder! 17 is one of the factors!

17 ÷ 17 = 1 - No remainder! 17 is one of the factors!

The divisor(s) above are the prime factors of the number 180,625. If we PUT all of it together we have the factors 5 x 5 x 5 x 5 x 17 x 17 = 180,625. It can also be written in exponential form as 54 x 172.

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